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Mrrafil [7]
1 year ago
6

On the unit circle, an angle terminates at the coordinate (x,y). What is the relationship between the x and y components of the

coordinate and the trig functions sin and cos?How can we use those relationships to predict the sign (+/-) for these trig functions when an angle terminates within a given quadrant?

Mathematics
1 answer:
Ivahew [28]1 year ago
6 0

The unit circle is represented below:

As can be observed in the figure above, for an angle (t), the relation between the trigonometric functions and x and y components is:

x = cos(t)

y = sen(t)

x is positive in the first and in the fourth quadrant. Thus, cos (t) will be positive for angles in the first and fourth quadrant.

y is positive in the first and in the second quadrant. Thus, sin (t) will be positive for angles in the first and second quadrant.

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Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.
Alexeev081 [22]
         12x - 5y = 2
12x - 12x - 5y = -12x + 2
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                    y = 2.4x - 0.4
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               y - 3 = 2.4(x) - 2.4(3)
               y - 3 = 2.4x - 7.2
                 + 3           + 3
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3 0
3 years ago
For the functions f(x) = x − 3 and g\left(x\right)=\frac{x+7}{2} g ( x ) = x + 7 2 , find [g∘f](x). Group of answer choices \fra
pychu [463]

Answer:

\textbf{$g(f(x)) = \frac{2x + 1}{2}$ }\\

Step-by-step explanation:

$ f(x) = x - 3 $$$$ g(x) = x + \frac{7}{2} $$\textup{To compute g(f(x))}$ \implies g(f(x)) = g(x - 3) $\\\textup{i.e., to substitute  $x - 3$ instead of x in g(x)}\\$ \therefore g(x - 3) = x - 3 + \frac{7}{2} $ \\\textup{Simplifying this we get:}\\\textbf{$$g(f(x)) = \frac{2x + 1}{2}$$}

8 0
3 years ago
I need heeellllpppp now!!!!
mel-nik [20]
The first option reduces to 1 and the second one reduces to -1.
4 0
3 years ago
In a random sample of 1,000 high-school students, 29 percent indicated that they had read the Declaration of Independence at lea
7nadin3 [17]

Answer:

c. Ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.

Step-by-step explanation:

Margin of error:

"It means the percentage difference of the result above or below the exact value."

i.e. 4 percent of margin error in the question means that the result will be either 4 percent above the 29 percent or 4 percent below the 29 percent.

OR "the result can vary upto 4 percent above or below the 29 percent."

Let me simplify the answer first in number then convert it percent to understand easily.

29 percent of 1000=  (29/100)*1000=290

4 percent of 1000=(4/100)*1000=40

If 290 students had read the declaration of independence at least once with 40 margin of error, then it means the number of students that had read declaration of independence may be 330 or 250

250 is 25% of 1000 and 330 is 33% of 1000, that is why ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.

4 0
3 years ago
4x + 3y = −6<br> 6x + 3y = −6
Lena [83]

Answer:

no solution

Step-by-step explanation:

If first equation is divided by 2 and the second equation is divided by 3, we get two equations 2x+y=3 and 2x+y= 4. These two lines are parallel and there cannot be any solution to the system

8 0
3 years ago
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